199881216 has 160 divisors (see below), whose sum is σ = 623620800. Its totient is φ = 63037440.

The previous prime is 199881193. The next prime is 199881221. The reversal of 199881216 is 612188991.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262276 + ... + 263036.

It is an arithmetic number, because the mean of its divisors is an integer number (3897630).

Almost surely, 2^199881216 is an apocalyptic number.

199881216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311810400).

199881216 is an abundant number, since it is smaller than the sum of its proper divisors (423739584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199881216 is an equidigital number, since it uses as much as digits as its factorization.

199881216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 785 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 199881216 is about 14137.9353513871. The cubic root of 199881216 is about 584.6877492069.

It can be divided in two parts, 19 and 9881216, that added together give a triangular number (9881235 = T₄₄₄₅).

The spelling of 199881216 in words is "one hundred ninety-nine million, eight hundred eighty-one thousand, two hundred sixteen".